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Finding the Fourth Proportional to 52.20, 77.92 and 46.48

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Solution

The fourth proportional to 52.20, 77.92 and 46.48 is: 69.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.20 : 77.92 = 46.48 : x
  2. Step 2: Convert to fraction form
    52.20/77.92 = 46.48/x
  3. Step 3: Cross multiply
    52.20x = 77.92 × 46.48
  4. Step 4: Simplify right side
    52.20x = 3,621.72
  5. Step 5: Solve for x
    x = 3,621.72/52.20
  6. Step 6: Final answer
    x = 69.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.